Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2000-03-14
Physics
Condensed Matter
Disordered Systems and Neural Networks
7 pages, 8 figures
Scientific paper
10.1103/PhysRevE.62.3360
Finite-size effects in the mean-field Ising spin glass and the mean-field three-state Potts glass are investigated by Monte Carlo simulations. In the thermodynamic limit, each model is known to exhibit a continuous phase transition into the ordered state with a full and a one-step replica-symmetry breaking (RSB), respectively. In the Ising case, Binder parameter g calculated for various finite sizes remains positive at any temperature and crosses at the transition point, while in the Potts case g develops a negative dip without showing a crossing in the g>0 region. By contrast, non-self averaging parameters always remain positive and show a clear crossing at the transition temperature in both cases. Our finding suggests that care should be taken in interpreting the numerical data of the Binder parameter, particularly when the system exhibits a one-step-like RSB.
Hukushima Koji
Kawamura Hikaru
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